Question

Linda planned to spend 9 hours practicing piano this week. By Tuesday, she had spent 2 1/2 hours practicing. How much longer does she need to practice to reach her goal?

Answer 1

`6(1)/(2)` hours more.

Explanation:

We have been given that Linda planned to spend 9 hours practicing piano this week. By Tuesday, she had spent 2 1/2 hours practicing.

To find number of hours Linda needs to practice to reach her goal, we will subtract 2 1/2 from 9 as:

`9-2(1)/(2)`

Convert mixed fraction into improper fraction:

`2(1)/(2)\Rightarrow (2* 2+1)/(2)=(4+1)/(2)=(5)/(2)`

`9-2(1)/(2)\Rightarrow 9-(5)/(2)`

`(9*2)/(2)-(5)/(2)`

`(18)/(2)-(5)/(2)`

Combine numerators:

`(18-5)/(2)`

`(13)/(2)`

`6(1)/(2)`

Therefore, Linda needs to practice
`6(1)/(2)` hours more to reach her goal.